Abstract:Sufficient as well as necessary conditions are studied for a dendrite or a dendroid to be homogeneous with respect to monotone mappings. The obtained results extend ones due to H. Kato and the first named author. A number of open problems are asked.
Keywords: confluent, dendrite, dendroid, homeomorphism, homogeneous, mapping, monotone, order of a point, ramification, standard, universal
AMS Subject Classification: 54C10, 54F50